Some obstructions to positive scalar curvature on a noncompact manifold

Abstract We give obstructions for a noncompact manifold to admit a complete Riemannian metric with (nonuniformly) positive scalar curvature. We treat both the finite volume and infinite volume cases.

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Publication Details

Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Published
2025-10-27
DOI
https://doi.org/10.1515/crelle-2025-0072
Citations
1
Primary Topic
Advanced Operator Algebra Research
Type
article
Field-Weighted Citation Impact
3.69
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article

Some obstructions to positive scalar curvature on a noncompact manifold

John Lott
1 citations
Journal für die reine und angewandte Mathematik (Crelles Journal)
Advanced Operator Algebra Research
3.69
article

Some obstructions to positive scalar curvature on a noncompact manifold

John Lott
article en
1 citations

Abstract

Abstract We give obstructions for a noncompact manifold to admit a complete Riemannian metric with (nonuniformly) positive scalar curvature. We treat both the finite volume and infinite volume cases.

Journal für die reine und angewandte Mathematik (Crelles Journal)
University of California, Berkeley (US)
Openalex Percentile: Top 6%
Advanced Operator Algebra Research
3.69
DOISourceOpenAlex
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Some obstructions to positive scalar curvature on a noncompact manifold — John Lott · Journal für die reine und angewandte Mathematik (Crelles Journal) (2025) | TGRS Research Map | TGRS